Gauge theories on El Naschie’s ε(∞) space-time topology

A mathematical model for gauge theories on El Naschie’s ε(∞) topology is given. Firstly, the geometry of El Naschie’s ε(∞) space-time is reviewed by meas of the frame defined only by directions and then the gauge theory over a compact Lie group G is described using El Naschie’s ε(∞) as background space-time. The U(1) and SU(2) gauge theories on El Naschie’s ε(∞) space-time topology are considered as particular examples.